TERRY GARDNER, a legal secretary in California, returned home from work recently to find two police officers waiting. They said her brother had told them he thought she might be having a breakdown because she had shaved her head.

Ms. Gardner, 50, said in a telephone interview that she had told the officers that she was fine and had shaved her head for an advertising campaign by Air New Zealand, which had hired her to display a temporary tattoo. She turned around and showed them the message, written in henna on the back of her head: “Need A Change? Head Down to New Zealand. www.airnewzealand.com.”

Ms. Gardner was among 30 of what the airline calls “cranial billboards.” For shaving their noggins and displaying the ad copy for two weeks in November, they received either a round-trip ticket to New Zealand (worth about $1,200) or $777 in cash (an allusion to the Boeing 777, a model in the airline’s fleet).

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